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» Third-Order Computation and Bounded Arithmetic
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CORR
2012
Springer
207views Education» more  CORR 2012»
12 years 3 months ago
A baby step-giant step roadmap algorithm for general algebraic sets
Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that takes as input a polynomial Q ⊂ D[X1, . . . , Xk], and computes a description of ...
Saugata Basu, Marie-Françoise Roy, Mohab Sa...
ISIPTA
2005
IEEE
146views Mathematics» more  ISIPTA 2005»
14 years 1 months ago
Arithmetic on Random Variables: Squeezing the Envelopes with New Joint Distribution Constraints
Uncertainty is a key issue in decision analysis and other kinds of applications. Researchers have developed a number of approaches to address computations on uncertain quantities....
Jianzhong Zhang 0004, Daniel Berleant
FSTTCS
2009
Springer
14 years 2 months ago
Arithmetic Circuits and the Hadamard Product of Polynomials
Motivated by the Hadamard product of matrices we define the Hadamard product of multivariate polynomials and study its arithmetic circuit and branching program complexity. We also...
Vikraman Arvind, Pushkar S. Joglekar, Srikanth Sri...
ISAAC
2007
Springer
158views Algorithms» more  ISAAC 2007»
14 years 1 months ago
On the Expressive Power of Planar Perfect Matching and Permanents of Bounded Treewidth Matrices
Valiant introduced some 25 years ago an algebraic model of computation along with the complexity classes VP and VNP, which can be viewed as analogues of the classical classes P and...
Uffe Flarup, Pascal Koiran, Laurent Lyaudet
AAAI
2006
13 years 9 months ago
Solving MAP Exactly by Searching on Compiled Arithmetic Circuits
The MAP (maximum a posteriori hypothesis) problem in Bayesian networks is to find the most likely states of a set of variables given partial evidence on the complement of that set...
Jinbo Huang, Mark Chavira, Adnan Darwiche